Math 242 Course Schedule

Math 242 Section 01
Differential Equations I
Dr. Dana Paquin
Winter 2014 Course Schedule






Date Quiz/Assignment Topics Covered Recommended Practice Problems

Not to be turned in

Monday

January 6

Introduction to Math 242

1.2: Solutions of Some Differential Equations

Read Sections 1.1-1.4

1.2: 5, 6, 9, 15

1.3: 8, 11, 15, 19, 26, 28

Tuesday

January 7

Introduction to Differential Equations assignment due 1.1: Direction Fields

2.2: Separable Differential Equations

1.1: 1-10, 15-20, 23

Use one of the direction field plotters posted on PolyLearn (in the Supplemental Notes and Resources section) to generate direction fields. Make sure that you can construct direction fields both by hand and using technology.

2.2: 1-8, 15, 27

Thursday

January 9

Direction Fields assignment due Introduction to the Method of Substitution

2.2: Homogeneous Differential Equations

2.2: 32
Friday

January 10

2.1: Linear Equations; Method of Integrating Factors 2.1: 1, 6, 8, 11, 14, 16, 18, 21, 24, 34-47
Monday

January 13

In-class Assignment on Substitution Methods and Bernoulli Equations 2.4: 29, 30
Tuesday

January 14

Quiz 1 on 1.1, 1.2, 1.3, 2.1, 2.2, Homogeneous DEs
Thursday

January 16

Substitution Methods assignment due 2.6: Exact Equations and Integrating Factors 2.6: 1-13, 15
Friday

January 17

In-class Assignment on Integrating Factors 2.6: 25-32
Monday

January 20

NO CLASS
Tuesday

January 21

Quiz 2 on 2.6, Substitution Methods, Bernoulli Equations Reducible Second-Order DEs Ch. 2 Miscellaneous Problems (p. 134-135): 36-41, 48, 50, 51
Thursday

Jaunary 23

Reducible Second-Order DEs

2.4: Differences Between Linear and Nonlinear Equations

The Existence and Uniqueness Theorem

Ch. 2 Miscellaneous Problems (p. 134-135): 42-47, 49

2.4: 1-12, 23-26

Friday

January 24

2.7: Numerical Approximations

Euler's Method

2.7: 1
Monday

January 27

Review
Tuesday

January 28

Exam 1
Thursday

January 30

Go over Exam 1
Friday

January 31

Introduction to Ch. 3
Monday

February 3

3.1: Homogeneous Equations with Constant Coefficients 3.1: 1, 7, 9, 15, 17, 21, 23, 27
Tuesday

February 4

3.2: Solutions of Linear Homogeneous Equations; The Wronskian 3.2: 7, 11, 13, 15

Thursday

February 6

3.2: Solutions of Linear Homogeneous Equations; The Wronskian 3.2: 3, 5, 11, 13, 15, 20, 21, 23, 24, 27, 28, 32, 33, 33, 36
Friday

February 7

3.3: Complex Roots of the Characteristic Equation 3.3: 7-27, 28, 29
Monday

February 10

3.4: Repeated Roots of the Characteristic Equation 3.4: 1-14, 19, 20
Tuesday

February 11

Quiz 3 on 3.1-3.3
Thursday

February 13

Reduction of Order 3.4: 23-30
Friday

February 14

3.5: Method of Undetermined Coefficients 3.5: 1-17 odd
Monday

February 17

NO CLASS
Tuesday

February 18

Quiz 4 on 3.4, Reduction of Order, 3.5
Thursday

February 20

Eigenvalue and Endpoint Problems

See textbook section posted in "Supplemental Notes and Resources" section in PolyLearn

Friday

February 21

Eigenvalue and Endpoint Problems

See textbook section posted in "Supplemental Notes and Resources" section in PolyLearn

Euler Equations

Eigenvalue and Endpoint Problems #1-6, 9 (problems and solutions posted in "Supplemental Notes and Resources" section in PolyLearn)

3.3: 36, 38, 39, 41

Monday

February 24

Euler Equations

4.1: General Theory of nth Order Linear Equations

3.3: 35, 37, 40, 42

3.4: 41-46

4.1: 1-17 odd, 19, 21-24 (use the formula from problem 20), 26-28

Tuesday

February 25

In-class assignment on 4.2, 4.3 4.2: Homogeneous Equations with Constant Coefficients

4.3: Method of Undetermined Coefficients

4.2: 1, 2, 5, 11-23 odd, 29, 31, 35, 38ab

4.3: 1-17 odd

Thursday

February 27

Quiz 5 on Euler Equations, Eigenvalue and Endpoint Problems, 4.1
Friday

February 28

4.2, 4.3 assignment due 7.1: Introduction to Systems of First Order Linear Equations

7.2, 7.3: Review of Linear Algebra

7.1: 7, 8-12 (a), (b), 15

7.2: 1, 2, 3, 10, 13, 15, 21, 22, 24

7.3: 1, 3, 7, 9, 11, 17, 19, 23, 31

Monday

March 3

Review
Tuesday

March 4

Exam 2
Thursday

March 6

7.5: Homogeneous Linear Systems with Constant Coefficients 7.5: 1a, 5a, 11, 13, 15, 19, 20
Friday

March 7

7.5: Homogeneous Linear Systems with Constant Coefficients

7.6: Complex Eigenvalues

7.5: 1a, 5a, 11, 13, 15, 19, 20
Monday

March 10

7.6: Complex Eigenvalues 7.6: 1a, 3a, 5a, 7a, 9
Tuesday

March 11

Quiz 6 on 7.5, 7.6
Thursday

March 13

7.8: Repeated Eigenvalues 7.8: 1c, 2c, 3c, 5c, 7a, 8a
Friday

March 14

Review


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